SOFAKNG,
Take the most common example of bandstacking technology - from Dish Network. DN has two systems - Legacy and Dish Pro.
Legacy systems still work with 13V/18V signals to switch the desired polarity reception at the LNBF unit. One local oscillator is used to extract the signal from both polarities and the switching is accomplished by selecting which pickup probe is used for the desired polarity. If the LH polarity probe is selected, the IF frequency coming down the cable and into the receiver is 950-1450 MHz. If the RH polarity probe is selected, the IF frequency coming down the cable and into the receiver is also 950-1450 MHz. Since they are using the same frequency band, both polarities (signals) cannot occupy the cable at the same time, so you must either have two cables or select only one polarity at a time.
Dish Pro systems use two local oscillator frequencies, one specific local oscillator for each pick up probe. These local oscillators and pick-up probes are active all the time, so no switching signals are sent to the LNBF to alter between the RH and LH polarities. The detection is now accomplished within the receiver itself. Since there are two L.O.'s, the IF frequency is unique for each polarity. One band (950 - 1450 MHz) represents the LH circular polarity signals and the other band (1650 - 2150 MHz) represents the RH circular polarity signals.
Now, you can utilize ONE cable to carry both LH and RH polarity signals simultaneously without cross talk interference. The receiver knows to look for the RH (12200 - 12700) polarity signals in the IF frequency range of 950 - 1450 MHz and the LH (12200 - 12700) polarity signals in the IF frequency range of 1650 - 2150 MHz. They are now separated by their frequencies and can co-exist on the same cable at the same time. Everything to differentiate the polarities will be accomplished within the receiver.
Now, I am not absolutely certain of this, but I believe that the L.O. for the RH polarity signals is 11250 MHz and the L.O. for the LH polarity signals is 10550 MHz. But, if this is right, it is only right for DN's circular satellites. The theory is correct, but I may have the numbers wrong.
Regardless of any number errors, which are not critically important for this discussion, the overall scoop is covered.
EDIT: I should add a novelty way of remembering the association between circular and linear polarities. RH (right hand circular) = Vertical/linear and LH (left hand circular) = Horizontal/linear.
The phrase is: I can drive an RV with my Left Hand. RV = Right hand + Vertical. Left Hand = LH = Left + Horizontal. Rather trite but it works.
RADAR